Absolute Value Calculator
Calculate the absolute value |x| of any number. The absolute value represents the distance of a number from zero on the number line.
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What is Absolute Value?
|x| = x if x ≥ 0
|x| = -x if x < 0
|x| = -x if x < 0
The absolute value of a number is its distance from zero, regardless of direction. It is always non-negative. Think of it as stripping away the sign.
Properties of Absolute Value
- |x| ≥ 0 for all real numbers x
- |x| = 0 if and only if x = 0
- |x × y| = |x| × |y|
- |x + y| ≤ |x| + |y| (Triangle inequality)
- |x - y| represents the distance between x and y
Examples:
|-5| = 5
|3.14| = 3.14
|0| = 0
|-100| = 100
|-5| = 5
|3.14| = 3.14
|0| = 0
|-100| = 100
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Last updated: 2026-08-08